{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Smoke\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Smoke_Plume.ipynb)\n",
    "\n",
    "This example simulates a rising plume of hot smoke. It demonstrates how to advect and couple other quantities with the fluid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install phiflow\n",
    "from phi.jax.flow import *\n",
    "from tqdm.notebook import trange\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We begin by defining our simulation size and smoke inflow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "domain = Box(x=100, y=100)\n",
    "inflow = Sphere(x=50, y=9.5, radius=5)\n",
    "inflow_rate = 0.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our simulation advects the velocity and smoke fields, computes the buoyancy force proportional to the smoke density, and enforces incompressibility.\n",
    "We sample the velocities on a $64\\times 64$ staggered grid, and the smoke density on a $200\\times 200$ grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def step(v, s, p, dt):\n",
    "    s = advect.mac_cormack(s, v, dt) + inflow_rate * resample(inflow, to=s, soft=True)\n",
    "    buoyancy = resample(s * (0, 0.1), to=v)\n",
    "    v = advect.semi_lagrangian(v, v, dt) + buoyancy * dt\n",
    "    v, p = fluid.make_incompressible(v, (), Solve('CG', 1e-3, x0=p))\n",
    "    return v, s, p\n",
    "\n",
    "v0 = StaggeredGrid(0, 0, domain, x=64, y=64)\n",
    "smoke0 = CenteredGrid(0, ZERO_GRADIENT, domain, x=200, y=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "760ba9ee88c243f38fc682cb5db7bb73",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/300 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v_trj, s_trj, p_trj = iterate(step, batch(time=300), v0, smoke0, None, dt=.5, range=trange, substeps=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x221b3fe1550>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(s_trj, animate='time', frame_time=80)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "phiflow2",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
